Decay of a charged scalar and Dirac fields in the Kerr-Newman-de Sitter background

TL;DR

This paper investigates the quasinormal modes of charged scalar and Dirac fields in Kerr-Newman-de Sitter black holes, revealing how black hole and field parameters influence decay rates, especially near extremal charge limits.

Contribution

It provides the first detailed analysis of how black hole parameters and field charge affect quasinormal mode spectra in Kerr-Newman-de Sitter backgrounds.

Findings

Charged perturbations decay faster for q>0 and slower for q<0 when Q is below a threshold.

Decay rates depend on black hole parameters like mass, charge, and cosmological constant.

Near extremal charge, decay behavior shows significant variation based on field charge.

Abstract

We find the quasinormal modes of the charged scalar and Dirac fields in the background of the rotating charged black holes, described by the Kerr-Newman-de Sitter solution. The dependence of the quasinormal spectrum upon the black hole parameters mass M, angular momentum a, charge Q, as well as on values of the \Lambda-term and field charge q is investigated. Special attention is given to the near extremal limit of the black hole charge. In particular, we find that for both scalar and Dirac fields, charged perturbations decay quicker for q>0 and slower for q<0 for values of black holes charge Q less than than some threshold value, which is close to the extremal value of charge and depend on parameters of the black holes.